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A128132
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A natural number transform, companion to A127701.
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11
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1, -1, 2, 0, -1, 3, 0, 0, -1, 4, 0, 0, 0, -1, 5, 0, 0, 0, 0, -1, 6, 0, 0, 0, 0, 0, -1, 7, 0, 0, 0, 0, 0, 0, -1, 8, 0, 0, 0, 0, 0, 0, 0, -1, 9, 0, 0, 0, 0, 0, 0, 0, 0, -1, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 12
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,3
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COMMENTS
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LINKS
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FORMULA
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T(n,n) = n.
T(n,n-1) = -1.
T(n,k) = 0 for k <> n, n-1.
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EXAMPLE
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Triangle T(n,k) (with rows n >= 1 and columns k = 1..n) begins:
1;
-1, 2;
0, -1, 3;
0, 0, -1, 4;
0, 0, 0, -1, 5;
0, 0, 0, 0, -1, 6;
...
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MAPLE
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if n = k then
n;
elif k = n-1 then
-1 ;
else
0 ;
end if;
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MATHEMATICA
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{1}~Join~Table[PadLeft[{-1, n}, n], {n, 2, 12}] // Flatten (* Michael De Vlieger, Apr 26 2016 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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